Finding the Third Proportional to 78,304 and 172,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,304 : 172,160 = 172,160 : x
2. Step 2: Convert to fraction form
   78,304/172,160 = 172,160/x
3. Step 3: Cross multiply
   78,304x = 172,160 × 172,160
4. Step 4: Simplify right side
   78,304x = 29,639,065,600
5. Step 5: Solve for x
   x = 29,639,065,600/78,304
6. Step 6: Final answer
   x = 378,512.79